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Finding the Fourth Proportional to 742.77, 1,113.57 and 430.38

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Solution

The fourth proportional to 742.77, 1,113.57 and 430.38 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,113.57 = 430.38 : x
  2. Step 2: Convert to fraction form
    742.77/1,113.57 = 430.38/x
  3. Step 3: Cross multiply
    742.77x = 1,113.57 × 430.38
  4. Step 4: Simplify right side
    742.77x = 479,258.26
  5. Step 5: Solve for x
    x = 479,258.26/742.77
  6. Step 6: Final answer
    x = 645.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.